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100442141106 = 2325036688117
BaseRepresentation
bin101110110001011010…
…0010111000110110010
3100121020222121102211020
41131202310113012302
53121201142003411
6114050435400310
710154023053426
oct1354264270662
9317228542736
10100442141106
1139662a7427a
1217571a53096
1396192b72b8
144c0ba74b86
15292ce74606
hex1762d171b2

100442141106 has 16 divisors (see below), whose sum is σ = 200964569664. Its totient is φ = 33467332464.

The previous prime is 100442141083. The next prime is 100442141113. The reversal of 100442141106 is 601141244001.

It is a super-4 number, since 4×1004421411064 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3329041 + ... + 3359076.

It is an arithmetic number, because the mean of its divisors is an integer number (12560285604).

Almost surely, 2100442141106 is an apocalyptic number.

100442141106 is an abundant number, since it is smaller than the sum of its proper divisors (100522428558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100442141106 is a wasteful number, since it uses less digits than its factorization.

100442141106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690625.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100442141106 its reverse (601141244001), we get a palindrome (701583385107).

The spelling of 100442141106 in words is "one hundred billion, four hundred forty-two million, one hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 2503 5006 7509 15018 6688117 13376234 20064351 40128702 16740356851 33480713702 50221070553 100442141106